Characterizations of inequality orderings by means of dispersive orderings
The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the disper...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099/4179 |
| Acceso en línea: | https://hdl.handle.net/2099/4179 |
| Access Level: | acceso abierto |
| Palabra clave: | Distribution (Probability theory) Generalized Lorenz Order Absolute lorenz order Concave order Dilation order Distribució (Teoria de la probabilitat) Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory |
| Sumario: | The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters. |
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